61512516 has 36 divisors (see below), whose sum is σ = 167452012. Its totient is φ = 18926784.

The previous prime is 61512497. The next prime is 61512541. The reversal of 61512516 is 61521516.

It is a happy number.

61512516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 42850116 = 4320^2 + 6546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61512516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65251 + ... + 66186.

Almost surely, 2^61512516 is an apocalyptic number.

It is an amenable number.

61512516 is an abundant number, since it is smaller than the sum of its proper divisors (105939496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61512516 is a wasteful number, since it uses less digits than its factorization.

61512516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131460 (or 131455 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 61512516 is about 7842.9915210970. The cubic root of 61512516 is about 394.7491137687.

It can be divided in two parts, 615 and 12516, that added together give a palindrome (13131).

The spelling of 61512516 in words is "sixty-one million, five hundred twelve thousand, five hundred sixteen".